椭圆型方程的重叠型区域分裂混合元方法

OVERLAPPING DOMAIN DECOMPOSITION AND MIXED FINITE ELEMENT METHODS FOR ELLIPTIC EQUATIONS

本文研究椭圆型方程的重叠型区域分解混合元方法，对第一边值和第二边值问题，分别给出了离散形式的区域分解混合元格式；证明了区域分裂格式解的存在唯一性和算法的收敛性，并给出数值算例．

Considering the overlapping domain decomposition and mised element methods for elliptic equations, we establish the domain decomposition procedures for Dirichletboundary and Neumann boundary problems respectively. We demonstrate the ekistence anduniqueness of the DDM solutions and the convergence of the procedures.